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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
Theodore W. Palmer
出版Cambridge University Press, 1994-03-25
主題Mathematics / Algebra / GeneralMathematics / Algebra / AbstractMathematics / Algebra / LinearMathematics / Differential Equations / GeneralMathematics / Probability & Statistics / GeneralMathematics / Functional AnalysisMathematics / TopologyMedical / General
ISBN05213663729780521366373
URLhttp://books.google.com.hk/books?id=3k0lKh6QY-QC&hl=&source=gbs_api
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註釋This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.